The generator matrix

 1  0  0  1  1  1  1  1  1  1  1  1  1  1 2a+2  1  1 2a+2  1  0  1  1  1  1  1  1  1  1  1  1 2a+2  1  1  1  1  2  1  1  1  0  1 2a  1  1  1  1  0  1
 0  1  0  0  2 2a+2  1 3a+2  1 2a+3 3a 2a+3 3a+3 3a+1  1 a+1  a  1 3a+3  1 a+2 2a+2 3a+2 2a+3  1 2a+1  2 a+2 3a+2  3  1 3a  3 3a+1 a+3  1  1  2 3a  1  0  1 a+1 3a+1 3a+1  a  1  2
 0  0  1  1 3a+2 3a+3  3 2a+3 3a+3  a a+1  2 a+3 2a  3 3a+2  a 3a+3  3  a 2a 2a+3  1  0 a+3 3a 3a+2 a+2 a+3  3  3 2a+2  0  2 3a  0 a+1 2a  2  3 3a+3 2a+3 a+1  2 2a+3 a+3 2a+2 a+3
 0  0  0 2a+2  0  0 2a+2 2a+2 2a 2a 2a+2  0  0  0  0 2a 2a+2 2a+2 2a  2 2a 2a  2  2  2 2a+2  2  0 2a  2 2a  0 2a+2  2  0  2  0 2a+2  2  2  2 2a+2  2 2a+2  2  0 2a+2 2a+2

generates a code of length 48 over GR(16,4) who´s minimum homogenous weight is 134.

Homogenous weight enumerator: w(x)=1x^0+816x^134+768x^135+231x^136+1680x^138+1224x^139+180x^140+2352x^142+1644x^143+243x^144+1908x^146+1164x^147+165x^148+1524x^150+900x^151+132x^152+780x^154+444x^155+57x^156+156x^158+6x^160+3x^164+3x^168+3x^172

The gray image is a code over GF(4) with n=192, k=7 and d=134.
This code was found by Heurico 1.16 in 25.8 seconds.